Search a number
-
+
240156710735420 = 22576919997811341
BaseRepresentation
bin110110100110101111010111…
…011011110000111000111100
31011111022202110002110021010202
4312212233113123300320330
5222434211420422013140
62210434245252423032
7101404515112554023
oct6646572733607074
91144282402407122
10240156710735420
116a5809863793a6
1222b27b90617a78
13a4008b04cc44b
14434390ac2d8ba
151cb7061ab6915
hexda6bd76f0e3c

240156710735420 has 48 divisors (see below), whose sum is σ = 505237600560000. Its totient is φ = 95889760174080.

The previous prime is 240156710735327. The next prime is 240156710735429. The reversal of 240156710735420 is 24537017651042.

It is a super-2 number, since 2×2401567107354202 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240156710735429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26838950 + ... + 34650290.

It is an arithmetic number, because the mean of its divisors is an integer number (10525783345000).

Almost surely, 2240156710735420 is an apocalyptic number.

240156710735420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

240156710735420 is an abundant number, since it is smaller than the sum of its proper divisors (265080889824580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

240156710735420 is a wasteful number, since it uses less digits than its factorization.

240156710735420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7814118 (or 7814116 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 47.

The spelling of 240156710735420 in words is "two hundred forty trillion, one hundred fifty-six billion, seven hundred ten million, seven hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 769 1538 1999 3076 3845 3998 7690 7996 9995 15380 19990 39980 1537231 3074462 6148924 7686155 7811341 15372310 15622682 30744620 31245364 39056705 78113410 156226820 6006921229 12013842458 15614870659 24027684916 30034606145 31229741318 60069212290 62459482636 78074353295 120138424580 156148706590 312297413180 12007835536771 24015671073542 48031342147084 60039177683855 120078355367710 240156710735420